College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.4 - Page 389: 80


3 real zeros, 2 imaginary (complex, nonreal) zeros

Work Step by Step

see Properties of Roots of Polynomial Equations (page 382) 1. If a polynomial equation is of degree $n$, then counting multiple roots separately, the equation has $n$ roots. 2. If $a+bi$ is a root of a polynomial equation with real coefficients $(b\neq 0)$, then the imaginary number $a-bi$ is also a root. Imaginary roots, if they exist, occur in conjugate pairs. ------------------------ The graph (attached image) crosses the x-axis at three places,... f has 3 real zeros. It has a total of n=5 zeros, so two are conjugate complex numbers
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